Field Theories For Low Dimensional Condensed Matter Systems

Author : Guiseppe Morandi,Pasquale Sodano,Arturo Tagliacozzo,Valerio Tognetti
Publisher : Springer Science & Business Media
Page : 286 pages
File Size : 48,8 Mb
Release : 2013-03-14
Category : Science
ISBN : 9783662042731

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Field Theories for Low-Dimensional Condensed Matter Systems by Guiseppe Morandi,Pasquale Sodano,Arturo Tagliacozzo,Valerio Tognetti Pdf

This book is especially addressed to young researchers in theoretical physics with a basic background in Field Theory and Condensed Matter Physics. The topics were chosen so as to offer the largest possible overlap between the two expertises, selecting a few key problems in Condensed Matter Theory which have been recently revisited within a field-theoretic approach. The presentation of the material is aimed not only at providing the reader with an overview of this exciting frontier area of modern theoretical physics, but also at elucidating most of the tools needed for a technical comprehen sion of the many papers appearing in current issues of physics journals and, hopefully, to enable the reader to tackle research problems in this area of physics. This makes the material a live creature: while not pretending it to be exhaustive, it is tutorial enough to be useful to young researchers as a starting point in anyone of the topics covered in the book.

Author : L. Baulieu,Vladimir Kazakov,Marco Picco,Paul Windey
Publisher : Springer Science & Business Media
Page : 374 pages
File Size : 45,7 Mb
Release : 2013-12-01
Category : Science
ISBN : 9781489919199

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Low-Dimensional Applications of Quantum Field Theory by L. Baulieu,Vladimir Kazakov,Marco Picco,Paul Windey Pdf

The Cargese Summer School "Low Dimensional Applications of Quantum Field Theory" was held in July 1995. The School was dedicated to the memory of Claude Itzykson. This session focused on the recent progress in quantum field theory in two dimen sions with a particular emphasis on integrable models and applications of quantum field theory to condensed matter physics. A large fraction of the school was also devoted to a detailed review of the exciting developments in four dimensional super symmetric Yang-Mills theory. The diversity of the topics presented constitute, in our opinion, one of the most attractive features of these proceedings. Some contributions constitute a very thor ough introduction to their subject matter and should be helpful to advanced students in the field while others present entirely new research, not previously published, and should be of considerable interest to the specialist. There were in depth introductory lectures on the application of conformal field theory techniques to disordered systems, on the quantum Hall effect, on quantum in tegrable systems, on the thermodynamic Bethe Ansatz and on the new developments in supersymmetric gauges theories. The computation of the three point function of the Liouville model using conformal bootstrap methods was presented in detail.

Author : Stig Lundqvist,Giuseppe Morandi,Lu Yu,International Centre for Theoretical Physics
Publisher : World Scientific Publishing Company Incorporated
Page : 611 pages
File Size : 40,6 Mb
Release : 1995
Category : Science
ISBN : 9810221401

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Low-dimensional Quantum Field Theories for Condensed Matter Physicists by Stig Lundqvist,Giuseppe Morandi,Lu Yu,International Centre for Theoretical Physics Pdf

This volume contains a set of pedagogical reviews covering the most recent applications of low-dimensional quantum field theory in condensed matter physics, written by experts who have made major contributions to this rapidly developing field of research. The main purpose is to introduce active young researchers to new ideas and new techniques which are not covered by the standard textbooks

Author : Sumathi Rao
Publisher : CRC Press
Page : 176 pages
File Size : 43,5 Mb
Release : 2019-04-24
Category : Science
ISBN : 9780429530395

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Field Theories in Condensed Matter Physics by Sumathi Rao Pdf

The application of field theoretic techniques to problems in condensed matter physics has generated an array of concepts and mathematical techniques to attack a range of problems such as the theory of quantum phase transitions, the quantum Hall effect, and quantum wires. While concepts such as the renormalization group, topology, and bosonization h

Author : Alvaro Ferraz,Kumar S. Gupta,Gordon Walter Semenoff,Pasquale Sodano
Publisher : Springer Nature
Page : 408 pages
File Size : 49,7 Mb
Release : 2020-02-29
Category : Science
ISBN : 9783030354732

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Strongly Coupled Field Theories for Condensed Matter and Quantum Information Theory by Alvaro Ferraz,Kumar S. Gupta,Gordon Walter Semenoff,Pasquale Sodano Pdf

This book presents a selection of advanced lectures from leading researchers, providing recent theoretical results on strongly coupled quantum field theories. It also analyzes their use for describing new quantum states, which are physically realizable in condensed matter, cold-atomic systems, as well as artificial materials. It particularly focuses on the engineering of these states in quantum devices and novel materials useful for quantum information processing. The book offers graduate students and young researchers in the field of modern condensed matter theory an updated review of the most relevant theoretical methods used in strongly coupled field theory and string theory. It also provides the tools for understanding their relevance in describing the emergence of new quantum states in a variety of physical settings. Specifically, this proceedings book summarizes new and previously unrelated developments in modern condensed matter physics, in particular: the interface of condensed matter theory and quantum information theory; the interface of condensed matter physics and the mathematics emerging from the classification of the topological phases of matter, such as topological insulators and topological superconductors; and the simulation of condensed matter systems with cold atoms in optical lattices.

Author : Eduardo Fradkin
Publisher : Cambridge University Press
Page : 855 pages
File Size : 42,5 Mb
Release : 2013-02-28
Category : Science
ISBN : 9780521764445

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Field Theories of Condensed Matter Physics by Eduardo Fradkin Pdf

Presenting the physics of the most challenging problems in condensed matter using the conceptual framework of quantum field theory, this book is of great interest to physicists in condensed matter and high energy and string theorists, as well as mathematicians. Revised and updated, this second edition features new chapters on the renormalization group, the Luttinger liquid, gauge theory, topological fluids, topological insulators and quantum entanglement. The book begins with the basic concepts and tools, developing them gradually to bring readers to the issues currently faced at the frontiers of research, such as topological phases of matter, quantum and classical critical phenomena, quantum Hall effects and superconductors. Other topics covered include one-dimensional strongly correlated systems, quantum ordered and disordered phases, topological structures in condensed matter and in field theory and fractional statistics.

Author : Lu Yu,Stig Lundqvist,Giuseppe Morandi
Publisher : World Scientific
Page : 625 pages
File Size : 44,9 Mb
Release : 1995-02-28
Category : Electronic
ISBN : 9789814556835

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Low-dimensional Quantum Field Theories For Condensed Matter Physicists - Lecture Notes Of Ictp Summer Course by Lu Yu,Stig Lundqvist,Giuseppe Morandi Pdf

This volume contains a set of pedagogical reviews covering the most recent applications of low-dimensional quantum field theory in condensed matter physics, written by experts who have made major contributions to this rapidly developing field of research. The main purpose is to introduce active young researchers to new ideas and new techniques which are not covered by the standard textbooks.

Author : Zlatko Tesanovic
Publisher : Addison Wesley Publishing Company
Page : 232 pages
File Size : 47,6 Mb
Release : 1990
Category : Condensed matter
ISBN : UCAL:B4286255

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Field Theories in Condensed Matter Physics by Zlatko Tesanovic Pdf

Author : Laurens Vanderstraeten
Publisher : Springer
Page : 219 pages
File Size : 45,5 Mb
Release : 2017-08-10
Category : Science
ISBN : 9783319641911

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Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems by Laurens Vanderstraeten Pdf

This thesis develops new techniques for simulating the low-energy behaviour of quantum spin systems in one and two dimensions. Combining these developments, it subsequently uses the formalism of tensor network states to derive an effective particle description for one- and two-dimensional spin systems that exhibit strong quantum correlations. These techniques arise from the combination of two themes in many-particle physics: (i) the concept of quasiparticles as the effective low-energy degrees of freedom in a condensed-matter system, and (ii) entanglement as the characteristic feature for describing quantum phases of matter. Whereas the former gave rise to the use of effective field theories for understanding many-particle systems, the latter led to the development of tensor network states as a description of the entanglement distribution in quantum low-energy states.

Author : Adriaan M J Schakel
Publisher : World Scientific Publishing Company
Page : 412 pages
File Size : 51,5 Mb
Release : 2008-10-28
Category : Science
ISBN : 9789813107199

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Boulevard of Broken Symmetries by Adriaan M J Schakel Pdf

This textbook covers the main topics in contemporary condensed matter physics in a modern and unified way, using quantum field theory in the functional-integral approach. The book highlights symmetry aspects in acknowledging that much of the collective behaviors of condensed matter systems at low temperatures emerge above a nontrivial ground state, which spontaneously breaks the symmetry. The emphasis is on effective field theories which provide an efficient and powerful description that is valid at long wavelengths and low frequencies. In conjunction with the emphasis on effective theories, a modern approach towards renormalization is taken, whereby a wavenumber cut-off is introduced to set a scale beyond which the microscopic model under consideration ceases to be valid. The unique and innovative character of this presentation, free of historical constraints, allows for a compact and self-contained treatment of the main topics in contemporary condensed matter physics.

Author : Ramamurti Shankar
Publisher : Unknown
Page : 537 pages
File Size : 43,9 Mb
Release : 2017
Category : Condensed matter
ISBN : 9781108363464

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Quantum Field Theory and Condensed Matter by Ramamurti Shankar Pdf

Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm-Pines and Chern-Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.

Author : Daniel C. Cabra,Andreas Honecker,Pierre Pujol
Publisher : Springer Science & Business Media
Page : 380 pages
File Size : 42,9 Mb
Release : 2012-01-05
Category : Technology & Engineering
ISBN : 9783642104480

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Modern Theories of Many-Particle Systems in Condensed Matter Physics by Daniel C. Cabra,Andreas Honecker,Pierre Pujol Pdf

Condensed matter systems where interactions are strong are inherently difficult to analyze theoretically. The situation is particularly interesting in low-dimensional systems, where quantum fluctuations play a crucial role. Here, the development of non-perturbative methods and the study of integrable field theory have facilitated the understanding of the behavior of many quasi one- and two-dimensional strongly correlated systems. In view of the same rapid development that has taken place for both experimental and numerical techniques, as well as the emergence of novel testing-grounds such as cold atoms or graphene, the current understanding of strongly correlated condensed matter systems differs quite considerably from standard textbook presentations. The present volume of lecture notes aims to fill this gap in the literature by providing a collection of authoritative tutorial reviews, covering such topics as quantum phase transitions of antiferromagnets and cuprate-based high-temperature superconductors, electronic liquid crystal phases, graphene physics, dynamical mean field theory applied to strongly correlated systems, transport through quantum dots, quantum information perspectives on many-body physics, frustrated magnetism, statistical mechanics of classical and quantum computational complexity, and integrable methods in statistical field theory. As both graduate-level text and authoritative reference on this topic, this book will benefit newcomers and more experienced researchers in this field alike.

Author : Eduardo Fradkin
Publisher : Addison Wesley Publishing Company
Page : 372 pages
File Size : 40,5 Mb
Release : 1991-07-21
Category : Science
ISBN : MINN:31951D00087782O

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Field Theories Of Condensed Matter Systems, Volume 82 Frontiers In Physics by Eduardo Fradkin Pdf

Author : Alexei M. Tsvelik
Publisher : Cambridge University Press
Page : 128 pages
File Size : 49,7 Mb
Release : 2007-01-18
Category : Science
ISBN : 9781139440509

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Quantum Field Theory in Condensed Matter Physics by Alexei M. Tsvelik Pdf

This book is a course in modern quantum field theory as seen through the eyes of a theorist working in condensed matter physics. It contains a gentle introduction to the subject and therefore can be used even by graduate students. The introductory parts include a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals including a discussion of Landau–Fermi liquid theory. In later chapters the discussion gradually turns to more advanced methods used in the theory of strongly correlated systems. The book contains a thorough exposition of such non-perturbative techniques as 1/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory of integrable systems. The book is intended for graduate students, postdoctoral associates and independent researchers working in condensed matter physics.

Author : Alexander Altland,Ben D. Simons
Publisher : Cambridge University Press
Page : 785 pages
File Size : 49,8 Mb
Release : 2010-03-11
Category : Science
ISBN : 9780521769754

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Condensed Matter Field Theory by Alexander Altland,Ben D. Simons Pdf

This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.